Rigid-drift magnetohydrodynamic equilibria for cylindrical screw pinches

The equations of magnetohydrodynamic equilibrium are solved using the rigid-drift assumption for a screw pinch with an arbitrarily pitched current. Instead of the customary isothermal assumption, the pressure is assumed to be proportional to the square of the number density (which implies a temperature that is proportional to the number density). Analytical formulae are presented for the profiles of the equilibrium magnetic field components, B/sub theta/(r) and B/sub z/(r), and for the equilibrium pressure profile, p (r). The relative shapes of these profiles (which can exhibit hollow pressure and/or reversed B/sub z/ behavior) are determined by specification of only two parameters: the value of the local plasma beta at r=0 and a quantity related to the pitch of the current. A set of profiles that resemble those experimentally observed in reversed-field pinches is presented